A dependent event occurs when the outcome of one event affects the outcome of another event.
Considering the options:
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Picking 2 snacks from the pantry and replacing the first one before selecting another one - This is an independent event because replacing the first snack means the outcome of the second selection is not affected by the first.
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Selecting a number from a set of number cards and putting it back because it was not an even number - This is an independent event because putting the number back means the outcome of future selections is unaffected.
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Riding your bike, given that it is a sunny day - This is conditionally dependent, as the ability to ride your bike is affected by the weather (it being sunny), but it isn't a typical event structure for independence/dependence comparison.
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Picking 2 snacks from the pantry without looking and keeping the first one before selecting the second one - This is a dependent event because keeping the first snack affects the pool of snacks available for the second selection.
Thus, the correct response representing a dependent event is picking 2 snacks from the pantry without looking and keeping the first one before selecting the second one.